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Finding the Third Proportional to 13,410.46 and 19,705.15

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Solution

The third proportional to 13,410.46 and 19,705.15 is: 28,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.46 : 19,705.15 = 19,705.15 : x
  2. Step 2: Convert to fraction form
    13,410.46/19,705.15 = 19,705.15/x
  3. Step 3: Cross multiply
    13,410.46x = 19,705.15 × 19,705.15
  4. Step 4: Simplify right side
    13,410.46x = 388,292,874.94
  5. Step 5: Solve for x
    x = 388,292,874.94/13,410.46
  6. Step 6: Final answer
    x = 28,954.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.